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On resonant elliptic systems with rapidly rotating nonlinearities
(Khayyam Publishing, 2012)
We study a Neumann problem for a nonlinear elliptic system. Unlike previous results in the literature of Landesman–Lazer type, our existence theorem allows rapid rotations on the nonlinear term.
SYNCHRONIZATION OF A CLASS OF SECOND-ORDER NONLINEAR SYSTEMS
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2008)
The asymptotic behavior of a class of coupled second-order nonlinear dynamical systems is studied in this paper. Using very mild assumptions on the vector-field, conditions on the coupling parameters that guarantee ...
Nonlinear dynamical analysis of an aeroelastic system with multi-segmented moment in the pitch degree-of-freedom
(Elsevier B.V., 2015-01-01)
The effects of a multi-segmented nonlinearity in the pitch degree of freedom on the behavior of a two-degree of freedom aeroelastic system are investigated. The aeroelastic system is free to plunge and pitch and is supported ...
A Short Note on a Nonlinear System vibrations under Two Non-Ideal Excitations
(2003-10-01)
This paper describes a nonlinear phenomenon in the dynamical behavior of a nonlinear system under two non-ideal excitations: the self-synchronization of unbalanced direct current motors. The considered model is taken as a ...
EXPERIMENTAL OBSERVATION OF NONLINEAR VIBRATIONS USING A CLOSED-LOOP VIBRATION SYSTEM
(Polish Acad Sciences, 2015-12-01)
This paper presents experimental observation of nonlinear vibrations in the response of a flexible cantilever beam to transverse harmonic base excitations around its flexural mode frequencies. In the experimental setup, ...
Nonlinear analysis and bifurcation characteristics of whirl flutter in unmanned aerial systems
(2021-12-01)
Aerial drones have improved significantly over the recent decades with stronger and smaller motors, more powerful propellers, and overall optimization of systems. These improvements have consequently increased top speeds ...
On the dynamic behaviour of a nonlinear system weakly connected to a linear single degree-of-freedom system
(2011-12-01)
This paper discusses the dynamic behaviour of a nonlinear two degree-of-freedom system consisting of a harmonically excited linear oscillator weakly connected to a nonlinear attachment that behaves as a hardening Duffing ...
On the dynamic behaviour of a nonlinear system weakly connected to a linear single degree-of-freedom system
(2011-12-01)
This paper discusses the dynamic behaviour of a nonlinear two degree-of-freedom system consisting of a harmonically excited linear oscillator weakly connected to a nonlinear attachment that behaves as a hardening Duffing ...
Topological methods for a nonlinear elliptic system with nonlinear boundary conditions
(Inderscience Publishers, 2009-09)
A nonlinear elliptic second order system with a nonlinear boundary condition is studied. We prove an existence result under a Hartman type condition. Moreover, assuming appropriate conditions of Nirenberg type, we prove ...
Fundamental analysis on the intentional use of nonlinear stiffness in some dynamical systems
(2019-01-01)
Although nonlinearity in dynamical systems have been of concern for many years due to its unpredictable effects, researchers and engineers have recently begun to incorporate it into mechanical and mechatronic devices to ...